SOLUTION: please SOLVE and CHECK this algebra problem : "the perimeter of a rectangle is 420 inches.The width is 4 inches less than the length.What is the length of the rectangle?"

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Question 235338: please SOLVE and CHECK this algebra problem : "the perimeter of a rectangle is 420 inches.The width is 4 inches less than the length.What is the length of the rectangle?"
Answer by Stitch(43) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangle is equal to 2L + 2W
Equation 1:
Equation 2:
Solution:
Plug L-4 into equation 1 for W

rewrite the equation
Combine like terms
Add 8 to both sides
Divide both sides by 4

The length of the rectangle is 107in.
Check your answer:
Plug 107 into equation 2 for L



Now plug the answers for L and W into equation 1